| 引用本文: | 曾建平,林 都.离散对象的降阶H∞控制器设计[J].控制理论与应用,2003,20(4):569~572.[点击复制] |
| ZENG Jian-ping,LIN Du.Design of reduced-order H-infinity controllers for discrete-time plants[J].Control Theory and Technology,2003,20(4):569~572.[点击复制] |
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| 离散对象的降阶H∞控制器设计 |
| Design of reduced-order H-infinity controllers for discrete-time plants |
| 摘要点击 1686 全文点击 930 投稿时间：2002-02-06 修订日期：2002-10-14 |
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| DOI编号 |
| 2003,20(4):569-572 |
| 中文关键词 离散系统 H∞ 控制 降阶控制器 LMI |
| 英文关键词 discrete-time systems H-infinity control reduced-order controllers LMI |
| 基金项目 山西省自然科学基金(20021045). |
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| 中文摘要 |
| 基于LMI方法, 考虑了离散对象的阶数不超过广义对象阶的降阶H∞ 控制器存在性问题. 通过3LMIS可解性条件的等价变换, 给出了一个降阶控制器的上界. 该上界可适用于奇异和非奇异对象两种情形, 且在奇异情形不为已有结果蕴涵. 证明是构造性的, 当降阶控制器存在时, 可以设计出这种控制器. 最后给出了两个简单的算例, 说明文中方法的可行性. |
| 英文摘要 |
| The existence of reduced-order H-infinity controllers with order not greater than that of generalized plants was studied, based on LMI for discrete-time plants. An upper bound of order for the controllers was obtained via equivalent 3LMIs, and was applicable to both singular and non-singular plants. Moreover, the bound was not implied by the previous one for singular plants. Finally, two examples were given to show the feasibility of the method. |
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